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WASABI_TASK_042 | Spatial Kinematics & Clearance | Expert | A narrow industrial service corridor with a 90-degree right-angle turn. The corridor walls are smooth concrete, and the floor is polished epoxy with moderate friction (μ ≈ 0.4). Lighting is dim but sufficient for visual inspection. | [{"name": "Steel I-Beam Segment", "material": "Structural Steel (ASTM A36)", "dimensions": "3.5m L \u00d7 0.25m W \u00d7 0.25m H", "weight_kg": 280.0, "key_physical_properties": "rigid, uniform density, non-deformable, high mass moment of inertia"}, {"name": "Hydraulic Bottle Jack", "material": "Hardened Steel body wit... | "Corridor Section 1 (approach): width 1.2m, height 2.4m, length 8m. Corridor Section 2 (after turn): width 1.0m, height 2.4m, length 6m. Corner junction: sharp 90-degree interior corner with no radius. Floor-to-ceiling clearance is uniform at 2.4m throughout." | You must transport the Steel I-Beam Segment from Corridor Section 1 through the 90-degree corner into Corridor Section 2. The beam cannot be disassembled, cut, or permanently modified. You may use the Hydraulic Jack as a tool. Describe the complete multi-step physical manipulation sequence required to successfully navi... | ["Step 1: Position the beam horizontally in Corridor Section 1, oriented at approximately 45\u00b0 to the corridor walls, with one end positioned near the outer wall of the approaching corridor section.", "Step 2: Place the Hydraulic Jack at the corner junction point (where the two corridor sections meet) and extend it... | The Hydraulic Jack is used as a static elevated pivot platform rather than a dynamic lifting device. Its affordance as a stable, height-adjustable support structure enables the creation of a 3D rotation axis that allows simultaneous horizontal and vertical angular manipulation. The jack's limited extension range (0.25m... | ["Ladder problem / moving sofa problem: maximum rigid body length through L-shaped corridor is min[w\u2081/sin(\u03b8) + w\u2082/cos(\u03b8)] = 3.107m at \u03b8=46.75\u00b0", "3D projection geometry: tilting at 37.90\u00b0 reduces effective horizontal length to L\u00d7cos(37.90\u00b0) = 2.762m", "Vertical clearance con... | Attempt to rotate the beam through the corner while keeping it completely horizontal | The beam length (3.5m) exceeds the maximum 2D clearance through the corner (3.107m). The beam will wedge against both walls at the corner and cannot complete the 90-degree rotation. This violates the spatial clearance constraint derived from the ladder problem formula. | ["combined horizontal and vertical rotation", "jack as static pivot platform (not lifter)", "precise tilt angle calculation (~37.90\u00b0)", "effective horizontal projection reduction", "simultaneous multi-axis manipulation", "corner bottleneck geometry analysis"] | ["keeping beam purely horizontal throughout maneuver", "using jack as primary lifting device", "attempting full vertical orientation", "ignoring ceiling height constraint", "purely 2D reasoning without 3D tilt component"] |
WASABI_TASK_042 | Spatial Kinematics & Clearance | Expert | A narrow industrial service corridor with a 90-degree right-angle turn. The corridor walls are smooth concrete, and the floor is polished epoxy with moderate friction (μ ≈ 0.4). Lighting is dim but sufficient for visual inspection. | [{"name": "Steel I-Beam Segment", "material": "Structural Steel (ASTM A36)", "dimensions": "3.5m L \u00d7 0.25m W \u00d7 0.25m H", "weight_kg": 280.0, "key_physical_properties": "rigid, uniform density, non-deformable, high mass moment of inertia"}, {"name": "Hydraulic Bottle Jack", "material": "Hardened Steel body wit... | "Corridor Section 1 (approach): width 1.2m, height 2.4m, length 8m. Corridor Section 2 (after turn): width 1.0m, height 2.4m, length 6m. Corner junction: sharp 90-degree interior corner with no radius. Floor-to-ceiling clearance is uniform at 2.4m throughout." | You must transport the Steel I-Beam Segment from Corridor Section 1 through the 90-degree corner into Corridor Section 2. The beam cannot be disassembled, cut, or permanently modified. You may use the Hydraulic Jack as a tool. Describe the complete multi-step physical manipulation sequence required to successfully navi... | ["Step 1: Position the beam horizontally in Corridor Section 1, oriented at approximately 45\u00b0 to the corridor walls, with one end positioned near the outer wall of the approaching corridor section.", "Step 2: Place the Hydraulic Jack at the corner junction point (where the two corridor sections meet) and extend it... | The Hydraulic Jack is used as a static elevated pivot platform rather than a dynamic lifting device. Its affordance as a stable, height-adjustable support structure enables the creation of a 3D rotation axis that allows simultaneous horizontal and vertical angular manipulation. The jack's limited extension range (0.25m... | ["Ladder problem / moving sofa problem: maximum rigid body length through L-shaped corridor is min[w\u2081/sin(\u03b8) + w\u2082/cos(\u03b8)] = 3.107m at \u03b8=46.75\u00b0", "3D projection geometry: tilting at 37.90\u00b0 reduces effective horizontal length to L\u00d7cos(37.90\u00b0) = 2.762m", "Vertical clearance con... | Use the hydraulic jack to lift one end of the beam and pivot it around the other end resting on the ground | The jack's height adjustment range (0.15m to 0.4m, giving 0.25m lift) can only achieve a maximum tilt angle of arcsin(0.25/3.5) = 4.10°. The required tilt is 37.90°. This insufficient tilt means the effective horizontal projection remains ~3.49m, still exceeding the 3.107m clearance limit. | ["combined horizontal and vertical rotation", "jack as static pivot platform (not lifter)", "precise tilt angle calculation (~37.90\u00b0)", "effective horizontal projection reduction", "simultaneous multi-axis manipulation", "corner bottleneck geometry analysis"] | ["keeping beam purely horizontal throughout maneuver", "using jack as primary lifting device", "attempting full vertical orientation", "ignoring ceiling height constraint", "purely 2D reasoning without 3D tilt component"] |
WASABI_TASK_042 | Spatial Kinematics & Clearance | Expert | A narrow industrial service corridor with a 90-degree right-angle turn. The corridor walls are smooth concrete, and the floor is polished epoxy with moderate friction (μ ≈ 0.4). Lighting is dim but sufficient for visual inspection. | [{"name": "Steel I-Beam Segment", "material": "Structural Steel (ASTM A36)", "dimensions": "3.5m L \u00d7 0.25m W \u00d7 0.25m H", "weight_kg": 280.0, "key_physical_properties": "rigid, uniform density, non-deformable, high mass moment of inertia"}, {"name": "Hydraulic Bottle Jack", "material": "Hardened Steel body wit... | "Corridor Section 1 (approach): width 1.2m, height 2.4m, length 8m. Corridor Section 2 (after turn): width 1.0m, height 2.4m, length 6m. Corner junction: sharp 90-degree interior corner with no radius. Floor-to-ceiling clearance is uniform at 2.4m throughout." | You must transport the Steel I-Beam Segment from Corridor Section 1 through the 90-degree corner into Corridor Section 2. The beam cannot be disassembled, cut, or permanently modified. You may use the Hydraulic Jack as a tool. Describe the complete multi-step physical manipulation sequence required to successfully navi... | ["Step 1: Position the beam horizontally in Corridor Section 1, oriented at approximately 45\u00b0 to the corridor walls, with one end positioned near the outer wall of the approaching corridor section.", "Step 2: Place the Hydraulic Jack at the corner junction point (where the two corridor sections meet) and extend it... | The Hydraulic Jack is used as a static elevated pivot platform rather than a dynamic lifting device. Its affordance as a stable, height-adjustable support structure enables the creation of a 3D rotation axis that allows simultaneous horizontal and vertical angular manipulation. The jack's limited extension range (0.25m... | ["Ladder problem / moving sofa problem: maximum rigid body length through L-shaped corridor is min[w\u2081/sin(\u03b8) + w\u2082/cos(\u03b8)] = 3.107m at \u03b8=46.75\u00b0", "3D projection geometry: tilting at 37.90\u00b0 reduces effective horizontal length to L\u00d7cos(37.90\u00b0) = 2.762m", "Vertical clearance con... | Orient the beam vertically (90° tilt) to minimize its floor footprint and slide it through the corner | When fully vertical, the beam requires 3.5m of vertical clearance, but the corridor ceiling height is only 2.4m. The beam physically cannot fit in the vertical orientation. This violates the vertical spatial constraint. | ["combined horizontal and vertical rotation", "jack as static pivot platform (not lifter)", "precise tilt angle calculation (~37.90\u00b0)", "effective horizontal projection reduction", "simultaneous multi-axis manipulation", "corner bottleneck geometry analysis"] | ["keeping beam purely horizontal throughout maneuver", "using jack as primary lifting device", "attempting full vertical orientation", "ignoring ceiling height constraint", "purely 2D reasoning without 3D tilt component"] |
WASABI_TASK_042 | Spatial Kinematics & Clearance | Expert | A narrow industrial service corridor with a 90-degree right-angle turn. The corridor walls are smooth concrete, and the floor is polished epoxy with moderate friction (μ ≈ 0.4). Lighting is dim but sufficient for visual inspection. | [{"name": "Steel I-Beam Segment", "material": "Structural Steel (ASTM A36)", "dimensions": "3.5m L \u00d7 0.25m W \u00d7 0.25m H", "weight_kg": 280.0, "key_physical_properties": "rigid, uniform density, non-deformable, high mass moment of inertia"}, {"name": "Hydraulic Bottle Jack", "material": "Hardened Steel body wit... | "Corridor Section 1 (approach): width 1.2m, height 2.4m, length 8m. Corridor Section 2 (after turn): width 1.0m, height 2.4m, length 6m. Corner junction: sharp 90-degree interior corner with no radius. Floor-to-ceiling clearance is uniform at 2.4m throughout." | You must transport the Steel I-Beam Segment from Corridor Section 1 through the 90-degree corner into Corridor Section 2. The beam cannot be disassembled, cut, or permanently modified. You may use the Hydraulic Jack as a tool. Describe the complete multi-step physical manipulation sequence required to successfully navi... | ["Step 1: Position the beam horizontally in Corridor Section 1, oriented at approximately 45\u00b0 to the corridor walls, with one end positioned near the outer wall of the approaching corridor section.", "Step 2: Place the Hydraulic Jack at the corner junction point (where the two corridor sections meet) and extend it... | The Hydraulic Jack is used as a static elevated pivot platform rather than a dynamic lifting device. Its affordance as a stable, height-adjustable support structure enables the creation of a 3D rotation axis that allows simultaneous horizontal and vertical angular manipulation. The jack's limited extension range (0.25m... | ["Ladder problem / moving sofa problem: maximum rigid body length through L-shaped corridor is min[w\u2081/sin(\u03b8) + w\u2082/cos(\u03b8)] = 3.107m at \u03b8=46.75\u00b0", "3D projection geometry: tilting at 37.90\u00b0 reduces effective horizontal length to L\u00d7cos(37.90\u00b0) = 2.762m", "Vertical clearance con... | Slide the beam diagonally across both corridor sections simultaneously without rotation | The diagonal width of the corner junction is √(1.2² + 1.0²) = 1.562m, which is far less than the beam length (3.5m). More critically, the beam must rotate around the corner point—it cannot simply translate diagonally. The bottleneck is angular kinematics, not linear passage. | ["combined horizontal and vertical rotation", "jack as static pivot platform (not lifter)", "precise tilt angle calculation (~37.90\u00b0)", "effective horizontal projection reduction", "simultaneous multi-axis manipulation", "corner bottleneck geometry analysis"] | ["keeping beam purely horizontal throughout maneuver", "using jack as primary lifting device", "attempting full vertical orientation", "ignoring ceiling height constraint", "purely 2D reasoning without 3D tilt component"] |
WASABI_TASK_042 | Spatial Kinematics & Clearance | Expert | A narrow industrial service corridor with a 90-degree right-angle turn. The corridor walls are smooth concrete, and the floor is polished epoxy with moderate friction (μ ≈ 0.4). Lighting is dim but sufficient for visual inspection. | [{"name": "Steel I-Beam Segment", "material": "Structural Steel (ASTM A36)", "dimensions": "3.5m L \u00d7 0.25m W \u00d7 0.25m H", "weight_kg": 280.0, "key_physical_properties": "rigid, uniform density, non-deformable, high mass moment of inertia"}, {"name": "Hydraulic Bottle Jack", "material": "Hardened Steel body wit... | "Corridor Section 1 (approach): width 1.2m, height 2.4m, length 8m. Corridor Section 2 (after turn): width 1.0m, height 2.4m, length 6m. Corner junction: sharp 90-degree interior corner with no radius. Floor-to-ceiling clearance is uniform at 2.4m throughout." | You must transport the Steel I-Beam Segment from Corridor Section 1 through the 90-degree corner into Corridor Section 2. The beam cannot be disassembled, cut, or permanently modified. You may use the Hydraulic Jack as a tool. Describe the complete multi-step physical manipulation sequence required to successfully navi... | ["Step 1: Position the beam horizontally in Corridor Section 1, oriented at approximately 45\u00b0 to the corridor walls, with one end positioned near the outer wall of the approaching corridor section.", "Step 2: Place the Hydraulic Jack at the corner junction point (where the two corridor sections meet) and extend it... | The Hydraulic Jack is used as a static elevated pivot platform rather than a dynamic lifting device. Its affordance as a stable, height-adjustable support structure enables the creation of a 3D rotation axis that allows simultaneous horizontal and vertical angular manipulation. The jack's limited extension range (0.25m... | ["Ladder problem / moving sofa problem: maximum rigid body length through L-shaped corridor is min[w\u2081/sin(\u03b8) + w\u2082/cos(\u03b8)] = 3.107m at \u03b8=46.75\u00b0", "3D projection geometry: tilting at 37.90\u00b0 reduces effective horizontal length to L\u00d7cos(37.90\u00b0) = 2.762m", "Vertical clearance con... | Place the jack under the beam end and use it to dynamically lift and lower the beam while pushing it through the corner | Dynamic lifting of a 280kg beam with a small-footprint jack creates severe stability hazards. The jack's maximum extension creates only 4.78° of tilt when placed optimally, insufficient for clearance. Additionally, dynamic manipulation risks uncontrolled tipping due to the beam's high mass moment of inertia and the jac... | ["combined horizontal and vertical rotation", "jack as static pivot platform (not lifter)", "precise tilt angle calculation (~37.90\u00b0)", "effective horizontal projection reduction", "simultaneous multi-axis manipulation", "corner bottleneck geometry analysis"] | ["keeping beam purely horizontal throughout maneuver", "using jack as primary lifting device", "attempting full vertical orientation", "ignoring ceiling height constraint", "purely 2D reasoning without 3D tilt component"] |
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